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Two cells of same emf epsilon but of different internalresistances r_1 and r_2 are connected in series with an external resistance R. The potential drop across the first cell is found to be zero. The external resistance R is

Answer»

`r_1+r_2`
`r_1-r_2`
`r_2-r_1`
`r_1^2//r_2`

Solution :As both both cells are in series , the circuit current
`I=(EPSILON+epsilon)/(r_1+r_2+R)=(2epsilon)/(r_1+r_2+R)`
As TERMINAL potential drop across `1^(st)` CELL is zero , hence
`V_1=epsilon-Ir_1=epsilon-(2epsilon)/((r_1+r_2+r))r_1=0`
`RARR epsilon=(2epsilonr_1)/((r_1+r_2+R))` or `r_1+r_2+R=2r_1` or `R=(r_1-r_2)`


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